Finding the Third Proportional to 354,078 and 778,140

Step by Step Solution

1. Step 1: Write the proportion equation
   354,078 : 778,140 = 778,140 : x
2. Step 2: Convert to fraction form
   354,078/778,140 = 778,140/x
3. Step 3: Cross multiply
   354,078x = 778,140 × 778,140
4. Step 4: Simplify right side
   354,078x = 605,501,859,600
5. Step 5: Solve for x
   x = 605,501,859,600/354,078
6. Step 6: Final answer
   x = 1,710,080.43